`vec(A)=(hat(i)-2hat(j)+6hat(k))` and `vec(B)=(hat(i)-2hat(j)+hat(k))`, find the cross product between `vec(A)` and `vec(B)`.

Explanation

To find the cross product of the vectors \(\vec{A}\) and \(\vec{B}\), we will use the determinant method. The vectors are given as:

\[ \vec{A} = \hat{i} - 2\hat{j} + 6\hat{k} \]
\[ \vec{B} = \hat{i} - 2\hat{j} + \hat{k} \]
...